Einstein submanifolds with parallel mean curvature vector field into $\mathbb {S}^n\times \mathbb {R}$

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发表日期：

2025年6月2日

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Estela Garcia,
Fernando Manfio

摘要

We prove that Einstein submanifolds in $\mathbb {S}^n\times \mathbb {R}$ $S^{n} \times R$ with flat normal bundle and parallel mean curvature vector field are warped product of isometric immersions.

Einstein submanifolds with parallel mean curvature vector field into \(\mathbb {S}^n\times \mathbb {R}\)

摘要